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Finding the Fourth Proportional to 5,874.95, 8,802.16 and 4,894.07

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Solution

The fourth proportional to 5,874.95, 8,802.16 and 4,894.07 is: 7,332.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.95 : 8,802.16 = 4,894.07 : x
  2. Step 2: Convert to fraction form
    5,874.95/8,802.16 = 4,894.07/x
  3. Step 3: Cross multiply
    5,874.95x = 8,802.16 × 4,894.07
  4. Step 4: Simplify right side
    5,874.95x = 43,078,387.19
  5. Step 5: Solve for x
    x = 43,078,387.19/5,874.95
  6. Step 6: Final answer
    x = 7,332.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.