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Finding the Fourth Proportional to 4,680.88, 6,459.62 and 2,585

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Solution

The fourth proportional to 4,680.88, 6,459.62 and 2,585 is: 3,567.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,680.88 : 6,459.62 = 2,585 : x
  2. Step 2: Convert to fraction form
    4,680.88/6,459.62 = 2,585/x
  3. Step 3: Cross multiply
    4,680.88x = 6,459.62 × 2,585
  4. Step 4: Simplify right side
    4,680.88x = 16,698,117.70
  5. Step 5: Solve for x
    x = 16,698,117.70/4,680.88
  6. Step 6: Final answer
    x = 3,567.30

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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.