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Finding the Fourth Proportional to 5,653.98, 7,802.30 and 3,415.46

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Solution

The fourth proportional to 5,653.98, 7,802.30 and 3,415.46 is: 4,713.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653.98 : 7,802.30 = 3,415.46 : x
  2. Step 2: Convert to fraction form
    5,653.98/7,802.30 = 3,415.46/x
  3. Step 3: Cross multiply
    5,653.98x = 7,802.30 × 3,415.46
  4. Step 4: Simplify right side
    5,653.98x = 26,648,491.61
  5. Step 5: Solve for x
    x = 26,648,491.61/5,653.98
  6. Step 6: Final answer
    x = 4,713.23

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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.