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Finding the Fourth Proportional to 5,146.32, 7,101.95 and 2,788.47

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Solution

The fourth proportional to 5,146.32, 7,101.95 and 2,788.47 is: 3,848.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.32 : 7,101.95 = 2,788.47 : x
  2. Step 2: Convert to fraction form
    5,146.32/7,101.95 = 2,788.47/x
  3. Step 3: Cross multiply
    5,146.32x = 7,101.95 × 2,788.47
  4. Step 4: Simplify right side
    5,146.32x = 19,803,574.52
  5. Step 5: Solve for x
    x = 19,803,574.52/5,146.32
  6. Step 6: Final answer
    x = 3,848.10

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1.5x scale

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.