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Finding the Fourth Proportional to 4,681.76, 6,460.80 and 2,585.88

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Solution

The fourth proportional to 4,681.76, 6,460.80 and 2,585.88 is: 3,568.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,681.76 : 6,460.80 = 2,585.88 : x
  2. Step 2: Convert to fraction form
    4,681.76/6,460.80 = 2,585.88/x
  3. Step 3: Cross multiply
    4,681.76x = 6,460.80 × 2,585.88
  4. Step 4: Simplify right side
    4,681.76x = 16,706,853.50
  5. Step 5: Solve for x
    x = 16,706,853.50/4,681.76
  6. Step 6: Final answer
    x = 3,568.50

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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.