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Finding the Fourth Proportional to 6,552.95, 9,827.30 and 2,854.08

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Solution

The fourth proportional to 6,552.95, 9,827.30 and 2,854.08 is: 4,280.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,552.95 : 9,827.30 = 2,854.08 : x
  2. Step 2: Convert to fraction form
    6,552.95/9,827.30 = 2,854.08/x
  3. Step 3: Cross multiply
    6,552.95x = 9,827.30 × 2,854.08
  4. Step 4: Simplify right side
    6,552.95x = 28,047,886.11
  5. Step 5: Solve for x
    x = 28,047,886.11/6,552.95
  6. Step 6: Final answer
    x = 4,280.20

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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.