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Finding the Fourth Proportional to 4,875.77, 7,314.64 and 1,587.98

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Solution

The fourth proportional to 4,875.77, 7,314.64 and 1,587.98 is: 2,382.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,875.77 : 7,314.64 = 1,587.98 : x
  2. Step 2: Convert to fraction form
    4,875.77/7,314.64 = 1,587.98/x
  3. Step 3: Cross multiply
    4,875.77x = 7,314.64 × 1,587.98
  4. Step 4: Simplify right side
    4,875.77x = 11,615,502.03
  5. Step 5: Solve for x
    x = 11,615,502.03/4,875.77
  6. Step 6: Final answer
    x = 2,382.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.