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Finding the Fourth Proportional to 5,886.88, 8,784.80 and 5,232.40

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Solution

The fourth proportional to 5,886.88, 8,784.80 and 5,232.40 is: 7,808.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886.88 : 8,784.80 = 5,232.40 : x
  2. Step 2: Convert to fraction form
    5,886.88/8,784.80 = 5,232.40/x
  3. Step 3: Cross multiply
    5,886.88x = 8,784.80 × 5,232.40
  4. Step 4: Simplify right side
    5,886.88x = 45,965,587.52
  5. Step 5: Solve for x
    x = 45,965,587.52/5,886.88
  6. Step 6: Final answer
    x = 7,808.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.