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Finding the Fourth Proportional to 4,875.70, 7,314.70 and 1,588.79

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Solution

The fourth proportional to 4,875.70, 7,314.70 and 1,588.79 is: 2,383.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,875.70 : 7,314.70 = 1,588.79 : x
  2. Step 2: Convert to fraction form
    4,875.70/7,314.70 = 1,588.79/x
  3. Step 3: Cross multiply
    4,875.70x = 7,314.70 × 1,588.79
  4. Step 4: Simplify right side
    4,875.70x = 11,621,522.21
  5. Step 5: Solve for x
    x = 11,621,522.21/4,875.70
  6. Step 6: Final answer
    x = 2,383.56

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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.