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Finding the Fourth Proportional to 3,430.42, 4,733.98 and 1,858.50

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Solution

The fourth proportional to 3,430.42, 4,733.98 and 1,858.50 is: 2,564.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.42 : 4,733.98 = 1,858.50 : x
  2. Step 2: Convert to fraction form
    3,430.42/4,733.98 = 1,858.50/x
  3. Step 3: Cross multiply
    3,430.42x = 4,733.98 × 1,858.50
  4. Step 4: Simplify right side
    3,430.42x = 8,798,097.18
  5. Step 5: Solve for x
    x = 8,798,097.18/3,430.42
  6. Step 6: Final answer
    x = 2,564.73

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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.