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Finding the Fourth Proportional to 4,590.25, 6,916.24 and 4,152.00

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Solution

The fourth proportional to 4,590.25, 6,916.24 and 4,152.00 is: 6,255.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,590.25 : 6,916.24 = 4,152.00 : x
  2. Step 2: Convert to fraction form
    4,590.25/6,916.24 = 4,152.00/x
  3. Step 3: Cross multiply
    4,590.25x = 6,916.24 × 4,152.00
  4. Step 4: Simplify right side
    4,590.25x = 28,716,173.14
  5. Step 5: Solve for x
    x = 28,716,173.14/4,590.25
  6. Step 6: Final answer
    x = 6,255.91

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.