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Finding the Fourth Proportional to 4,681.72, 6,460.65 and 2,585.80

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Solution

The fourth proportional to 4,681.72, 6,460.65 and 2,585.80 is: 3,568.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,681.72 : 6,460.65 = 2,585.80 : x
  2. Step 2: Convert to fraction form
    4,681.72/6,460.65 = 2,585.80/x
  3. Step 3: Cross multiply
    4,681.72x = 6,460.65 × 2,585.80
  4. Step 4: Simplify right side
    4,681.72x = 16,705,948.77
  5. Step 5: Solve for x
    x = 16,705,948.77/4,681.72
  6. Step 6: Final answer
    x = 3,568.34

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