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Finding the Fourth Proportional to 4,459.84, 6,154.62 and 2,572

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Solution

The fourth proportional to 4,459.84, 6,154.62 and 2,572 is: 3,549.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,459.84 : 6,154.62 = 2,572 : x
  2. Step 2: Convert to fraction form
    4,459.84/6,154.62 = 2,572/x
  3. Step 3: Cross multiply
    4,459.84x = 6,154.62 × 2,572
  4. Step 4: Simplify right side
    4,459.84x = 15,829,682.64
  5. Step 5: Solve for x
    x = 15,829,682.64/4,459.84
  6. Step 6: Final answer
    x = 3,549.38

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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.