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Finding the Fourth Proportional to 4,877.66, 7,316.51 and 1,590.75

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Solution

The fourth proportional to 4,877.66, 7,316.51 and 1,590.75 is: 2,386.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,877.66 : 7,316.51 = 1,590.75 : x
  2. Step 2: Convert to fraction form
    4,877.66/7,316.51 = 1,590.75/x
  3. Step 3: Cross multiply
    4,877.66x = 7,316.51 × 1,590.75
  4. Step 4: Simplify right side
    4,877.66x = 11,638,730.33
  5. Step 5: Solve for x
    x = 11,638,730.33/4,877.66
  6. Step 6: Final answer
    x = 2,386.13

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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.