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Finding the Fourth Proportional to 4,671.51, 6,441.66 and 4,602.57

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Solution

The fourth proportional to 4,671.51, 6,441.66 and 4,602.57 is: 6,346.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.51 : 6,441.66 = 4,602.57 : x
  2. Step 2: Convert to fraction form
    4,671.51/6,441.66 = 4,602.57/x
  3. Step 3: Cross multiply
    4,671.51x = 6,441.66 × 4,602.57
  4. Step 4: Simplify right side
    4,671.51x = 29,648,191.07
  5. Step 5: Solve for x
    x = 29,648,191.07/4,671.51
  6. Step 6: Final answer
    x = 6,346.60

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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.