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Finding the Fourth Proportional to 4,590.50, 6,335.16 and 2,574.08

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Solution

The fourth proportional to 4,590.50, 6,335.16 and 2,574.08 is: 3,552.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,590.50 : 6,335.16 = 2,574.08 : x
  2. Step 2: Convert to fraction form
    4,590.50/6,335.16 = 2,574.08/x
  3. Step 3: Cross multiply
    4,590.50x = 6,335.16 × 2,574.08
  4. Step 4: Simplify right side
    4,590.50x = 16,307,191.08
  5. Step 5: Solve for x
    x = 16,307,191.08/4,590.50
  6. Step 6: Final answer
    x = 3,552.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.