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Finding the Fourth Proportional to 4,681.92, 6,460.98 and 2,586

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Solution

The fourth proportional to 4,681.92, 6,460.98 and 2,586 is: 3,568.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,681.92 : 6,460.98 = 2,586 : x
  2. Step 2: Convert to fraction form
    4,681.92/6,460.98 = 2,586/x
  3. Step 3: Cross multiply
    4,681.92x = 6,460.98 × 2,586
  4. Step 4: Simplify right side
    4,681.92x = 16,708,094.28
  5. Step 5: Solve for x
    x = 16,708,094.28/4,681.92
  6. Step 6: Final answer
    x = 3,568.64

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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.