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Finding the Fourth Proportional to 5,653.83, 7,802.43 and 3,295.11

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Solution

The fourth proportional to 5,653.83, 7,802.43 and 3,295.11 is: 4,547.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653.83 : 7,802.43 = 3,295.11 : x
  2. Step 2: Convert to fraction form
    5,653.83/7,802.43 = 3,295.11/x
  3. Step 3: Cross multiply
    5,653.83x = 7,802.43 × 3,295.11
  4. Step 4: Simplify right side
    5,653.83x = 25,709,865.12
  5. Step 5: Solve for x
    x = 25,709,865.12/5,653.83
  6. Step 6: Final answer
    x = 4,547.34

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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.