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Finding the Fourth Proportional to 5,614.74, 8,407.01 and 4,570.45

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Solution

The fourth proportional to 5,614.74, 8,407.01 and 4,570.45 is: 6,843.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.74 : 8,407.01 = 4,570.45 : x
  2. Step 2: Convert to fraction form
    5,614.74/8,407.01 = 4,570.45/x
  3. Step 3: Cross multiply
    5,614.74x = 8,407.01 × 4,570.45
  4. Step 4: Simplify right side
    5,614.74x = 38,423,809.26
  5. Step 5: Solve for x
    x = 38,423,809.26/5,614.74
  6. Step 6: Final answer
    x = 6,843.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.