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Finding the Fourth Proportional to 4,875.96, 7,314.94 and 1,588.98

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Solution

The fourth proportional to 4,875.96, 7,314.94 and 1,588.98 is: 2,383.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,875.96 : 7,314.94 = 1,588.98 : x
  2. Step 2: Convert to fraction form
    4,875.96/7,314.94 = 1,588.98/x
  3. Step 3: Cross multiply
    4,875.96x = 7,314.94 × 1,588.98
  4. Step 4: Simplify right side
    4,875.96x = 11,623,293.36
  5. Step 5: Solve for x
    x = 11,623,293.36/4,875.96
  6. Step 6: Final answer
    x = 2,383.80

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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.