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Finding the Fourth Proportional to 4,875.98, 6,732.10 and 3,284.40

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Solution

The fourth proportional to 4,875.98, 6,732.10 and 3,284.40 is: 4,534.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,875.98 : 6,732.10 = 3,284.40 : x
  2. Step 2: Convert to fraction form
    4,875.98/6,732.10 = 3,284.40/x
  3. Step 3: Cross multiply
    4,875.98x = 6,732.10 × 3,284.40
  4. Step 4: Simplify right side
    4,875.98x = 22,110,909.24
  5. Step 5: Solve for x
    x = 22,110,909.24/4,875.98
  6. Step 6: Final answer
    x = 4,534.66

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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.