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Finding the Fourth Proportional to 4,641.84, 6,403.55 and 3,051.12

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Solution

The fourth proportional to 4,641.84, 6,403.55 and 3,051.12 is: 4,209.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.84 : 6,403.55 = 3,051.12 : x
  2. Step 2: Convert to fraction form
    4,641.84/6,403.55 = 3,051.12/x
  3. Step 3: Cross multiply
    4,641.84x = 6,403.55 × 3,051.12
  4. Step 4: Simplify right side
    4,641.84x = 19,537,984.22
  5. Step 5: Solve for x
    x = 19,537,984.22/4,641.84
  6. Step 6: Final answer
    x = 4,209.10

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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.