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Finding the Fourth Proportional to 5,653.04, 7,802.56 and 3,295.60

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Solution

The fourth proportional to 5,653.04, 7,802.56 and 3,295.60 is: 4,548.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653.04 : 7,802.56 = 3,295.60 : x
  2. Step 2: Convert to fraction form
    5,653.04/7,802.56 = 3,295.60/x
  3. Step 3: Cross multiply
    5,653.04x = 7,802.56 × 3,295.60
  4. Step 4: Simplify right side
    5,653.04x = 25,714,116.74
  5. Step 5: Solve for x
    x = 25,714,116.74/5,653.04
  6. Step 6: Final answer
    x = 4,548.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.