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Finding the Fourth Proportional to 5,689.58, 7,848.84 and 4,902.26

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Solution

The fourth proportional to 5,689.58, 7,848.84 and 4,902.26 is: 6,762.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.58 : 7,848.84 = 4,902.26 : x
  2. Step 2: Convert to fraction form
    5,689.58/7,848.84 = 4,902.26/x
  3. Step 3: Cross multiply
    5,689.58x = 7,848.84 × 4,902.26
  4. Step 4: Simplify right side
    5,689.58x = 38,477,054.38
  5. Step 5: Solve for x
    x = 38,477,054.38/5,689.58
  6. Step 6: Final answer
    x = 6,762.72

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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.