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Finding the Fourth Proportional to 5,642.42, 7,788.72 and 5,051.93

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Solution

The fourth proportional to 5,642.42, 7,788.72 and 5,051.93 is: 6,973.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.42 : 7,788.72 = 5,051.93 : x
  2. Step 2: Convert to fraction form
    5,642.42/7,788.72 = 5,051.93/x
  3. Step 3: Cross multiply
    5,642.42x = 7,788.72 × 5,051.93
  4. Step 4: Simplify right side
    5,642.42x = 39,348,068.23
  5. Step 5: Solve for x
    x = 39,348,068.23/5,642.42
  6. Step 6: Final answer
    x = 6,973.62

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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.