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Finding the Fourth Proportional to 4,876.48, 7,312.88 and 1,588.80

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Solution

The fourth proportional to 4,876.48, 7,312.88 and 1,588.80 is: 2,382.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,876.48 : 7,312.88 = 1,588.80 : x
  2. Step 2: Convert to fraction form
    4,876.48/7,312.88 = 1,588.80/x
  3. Step 3: Cross multiply
    4,876.48x = 7,312.88 × 1,588.80
  4. Step 4: Simplify right side
    4,876.48x = 11,618,703.74
  5. Step 5: Solve for x
    x = 11,618,703.74/4,876.48
  6. Step 6: Final answer
    x = 2,382.60

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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.