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Finding the Fourth Proportional to 4,853.70, 7,291.35 and 4,670.10

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Solution

The fourth proportional to 4,853.70, 7,291.35 and 4,670.10 is: 7,015.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,853.70 : 7,291.35 = 4,670.10 : x
  2. Step 2: Convert to fraction form
    4,853.70/7,291.35 = 4,670.10/x
  3. Step 3: Cross multiply
    4,853.70x = 7,291.35 × 4,670.10
  4. Step 4: Simplify right side
    4,853.70x = 34,051,333.64
  5. Step 5: Solve for x
    x = 34,051,333.64/4,853.70
  6. Step 6: Final answer
    x = 7,015.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.