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Finding the Fourth Proportional to 5,669.42, 7,827.62 and 5,070.05

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Solution

The fourth proportional to 5,669.42, 7,827.62 and 5,070.05 is: 7,000.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,669.42 : 7,827.62 = 5,070.05 : x
  2. Step 2: Convert to fraction form
    5,669.42/7,827.62 = 5,070.05/x
  3. Step 3: Cross multiply
    5,669.42x = 7,827.62 × 5,070.05
  4. Step 4: Simplify right side
    5,669.42x = 39,686,399.43
  5. Step 5: Solve for x
    x = 39,686,399.43/5,669.42
  6. Step 6: Final answer
    x = 7,000.08

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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.