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Finding the Fourth Proportional to 6,452.70, 8,897.62 and 4,210.35

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Solution

The fourth proportional to 6,452.70, 8,897.62 and 4,210.35 is: 5,805.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452.70 : 8,897.62 = 4,210.35 : x
  2. Step 2: Convert to fraction form
    6,452.70/8,897.62 = 4,210.35/x
  3. Step 3: Cross multiply
    6,452.70x = 8,897.62 × 4,210.35
  4. Step 4: Simplify right side
    6,452.70x = 37,462,094.37
  5. Step 5: Solve for x
    x = 37,462,094.37/6,452.70
  6. Step 6: Final answer
    x = 5,805.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.