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Finding the Fourth Proportional to 4,875.82, 7,312.03 and 1,588.30

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Solution

The fourth proportional to 4,875.82, 7,312.03 and 1,588.30 is: 2,381.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,875.82 : 7,312.03 = 1,588.30 : x
  2. Step 2: Convert to fraction form
    4,875.82/7,312.03 = 1,588.30/x
  3. Step 3: Cross multiply
    4,875.82x = 7,312.03 × 1,588.30
  4. Step 4: Simplify right side
    4,875.82x = 11,613,697.25
  5. Step 5: Solve for x
    x = 11,613,697.25/4,875.82
  6. Step 6: Final answer
    x = 2,381.90

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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.