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Finding the Fourth Proportional to 4,856.00, 6,697.80 and 4,783.10

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Solution

The fourth proportional to 4,856.00, 6,697.80 and 4,783.10 is: 6,597.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,856.00 : 6,697.80 = 4,783.10 : x
  2. Step 2: Convert to fraction form
    4,856.00/6,697.80 = 4,783.10/x
  3. Step 3: Cross multiply
    4,856.00x = 6,697.80 × 4,783.10
  4. Step 4: Simplify right side
    4,856.00x = 32,036,213.69
  5. Step 5: Solve for x
    x = 32,036,213.69/4,856.00
  6. Step 6: Final answer
    x = 6,597.25

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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.